GCD of 469, 721, 550, 696 Calculator

Given Input numbers are 469, 721, 550, 696

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 469, 721, 550, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 721, 550, 696 is 1.

Therefore, GCD of numbers 469, 721, 550, 696 is 1

Given Input Data is 469, 721, 550, 696

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 469 is 7 x 67

Prime Factorization of 721 is 7 x 103

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(469, 721) = 48307

GCD(469, 721) = ( 469 x 721 ) / 48307

GCD(469, 721) = 338149 / 48307

GCD(469, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 550

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 550) = 3850

GCD(7, 550) = ( 7 x 550 ) / 3850

GCD(7, 550) = 3850 / 3850

GCD(7, 550) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 469, 721, 550, 696 is 1

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1. What is the GCD of 469, 721, 550, 696?

GCD of 469, 721, 550, 696 is 1

2. Where do I get the detailed procedure to find GCD of 469, 721, 550, 696?

You can find a detailed procedure to find GCD of 469, 721, 550, 696 on our page.

3. How to find GCD of 469, 721, 550, 696 on a calculator?

You can find the GCD of 469, 721, 550, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.